Find the LCM of 470, 888, 803, 319, 752 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 470, 888, 803, 319, 752. So, keep reading to learn more.
Given numbers are 470,888,803,319,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,888,803,319,752 is 9719062320.
Find LCM of 470,888,803,319,752 with Prime Factorization
2 | 470, 888, 803, 319, 752 |
2 | 235, 444, 803, 319, 376 |
2 | 235, 222, 803, 319, 188 |
11 | 235, 111, 803, 319, 94 |
47 | 235, 111, 73, 29, 94 |
5, 111, 73, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 47 x 5 x 111 x 73 x 29 x 2 = 9719062320
Therefore, the lowest common multiple of 470,888,803,319,752 is 9719062320.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
470 x 888 x 803 x 319 x 752 = 80396083511040
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
470 : 1, 2, 5, 10, 47, 94, 235, 470
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
803 : 1, 11, 73, 803
319 : 1, 11, 29, 319
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,888,803,319,752, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
888:2x 2x 2x 3x 37
803:11x 73
319:11x 29
752:2x 2x 2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 11x 47 = 8272
Therefore, the value for common factors is 8272.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 80396083511040/(1x8272)
LCM = 80396083511040/8272
LCM = 9719062320
Thus, we can understand that the LCM of 470,888,803,319,752 is 9719062320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 470, 888, 803, 319, 752?
Answer: LCM of 470, 888, 803, 319, 752 is 9719062320.
2. How to calculate the LCM of 470, 888, 803, 319, 752?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 470, 888, 803, 319, 752.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.